Exploring Writing and Graphing Inequalities

What should you do first when given an inequality to graph on a number line?

• Check if the inequality is true for all values.

• Write the inequality in standard form.

• Solve the inequality algebraically.

• Draw a number line and mark the inequality's critical value.

For the inequality X < 3, what type of circle should be used on the number line?

• Open circle on -3

• Closed circle on -3

• Open circle on 3

• Closed circle on 3

Which direction should the arrow point for the inequality X > -2?

• To the left

• No arrow needed

• To the right

• Both directions

For the inequality X ≥ 5, what type of circle should be used on the number line?

• Open circle on -5

• Closed circle on 5

• Closed circle on -5

• Open circle on 5

For the inequality X > -2, what type of circle should be used on the number line?

• Closed circle on -2

• Open circle on -2

• Closed circle on 2

• Open circle on 2

For the inequality X ≤ 1, which direction should the arrow point on the number line?

• To the left

• To the right

• No arrow needed

• Both directions

Which inequality matches a number line with an open circle on 1 and an arrow pointing to the left?

• X ≥ 1

• X < 1

• X > 1

• X ≤ 1

What is the inequality for a number line with an open circle on -3 and an arrow pointing to the right?

• X < -3

• X > -3

• X ≥ -3

• X ≤ -3

If a number line has a closed circle on 0 and an arrow pointing to the left, what is the inequality?

• X > 0

• X ≥ 0

• X < 0

• X ≤ 0

What is the inequality for a number line with a closed circle on 4 and an arrow pointing to the left?

• X < 4

• X ≤ 4

• X > 4

• X ≥ 4